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David Cameron is considering sending his son to a £18,000-a-year all-boys school, according to reports.

The Mail on Sunday said the Prime Minister and his wife Samantha had discussed registering Elwen, nine, at Colet Court Preparatory School.

The school, in Barnes, south-west London, is a feeder for St Paul’s School, which was once attended by Chancellor George Osborne.

It describes itself on its website as ‘an independent school offering an outstanding, all-round education for gifted boys aged seven to 18 years’. Colet Court costs £6,000 per term and charges fees for registering and entrance exams.